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Finding the Third Proportional to 7,071 and 14,871

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Solution

The third proportional to 7,071 and 14,871 is: 31,275.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,071 : 14,871 = 14,871 : x
  2. Step 2: Convert to fraction form
    7,071/14,871 = 14,871/x
  3. Step 3: Cross multiply
    7,071x = 14,871 × 14,871
  4. Step 4: Simplify right side
    7,071x = 221,146,641
  5. Step 5: Solve for x
    x = 221,146,641/7,071
  6. Step 6: Final answer
    x = 31,275.16

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.